Embeddings of hyperbolic Kac-Moody algebras into $\mathbf{E_{10}}$}
Quantum Algebra
2008-01-18 v1 Mathematical Physics
math.MP
Abstract
We show that the rank 10 hyperbolic Kac-Moody algebra contains every simply laced hyperbolic Kac-Moody algebra as a Lie subalgebra. Our method is based on an extension of earlier work of Feingold and Nicolai.
Cite
@article{arxiv.0801.2586,
title = {Embeddings of hyperbolic Kac-Moody algebras into $\mathbf{E_{10}}$}},
author = {Sankaran Viswanath},
journal= {arXiv preprint arXiv:0801.2586},
year = {2008}
}
Comments
10 pages. to appear in Letters in Mathematical Physics